# Foundation Mathematics

## Module summary

Module code: MATH1181
Level: 0
Credits: 15
School: Engineering and Science
Department: Science
Module Coordinator(s): Susan Force

## Specification

### Aims

• to equip students with the basic techniques of algebra, geometry and graphical analysis
• to instill competence with the basics of concepts ranging from probability and statistics to data handling, analysis and interpretation
• to develop students’ mathematical confidence so that they will be able to apply numerical manipulation when needed in subsequent level 4 topics

### Learning outcomes

On successful completion of this module a student will be able to:
1 Manipulate equations and simple mathematical functions.
2 Calculate physical quantities relevant to laboratory study and interconvert between scientific units.
3 Demonstrate the ability to analyse, interpret and graphically plot experimental data.
4 Apply new numerical skills gained to the solving of elementary scientific problems.

### Indicative content

The module aims to give a solid understanding of basic concepts of commonly-encountered mathematical operations and statistical concepts, delivered with frequent reference to scientific applications and case studies.
1. Review of basic numeracy:
2. Arithmetic operations; decimals; fractions; percentages; ratios, proportions; rearranging algebraic expressions; indices, index notation, SI unit prefixes, unit interconversion. Density and molar concentration calculations.
3. Graphing functions and inverse functions. Mathematical relationships.
4. Logarithmic and exponential functions and their manipulation.
5. Statistical analysis of data e.g. mode, mean, median, quantile and standard deviation. Concept of probability, rounding off, significant figures.
6. Tabular and graphical representations of data, bar graphs, histograms, data scatter and pie charts. Graph plotting skills. Dependent/independent variables. Data distribution, skewness, goodness-of-fit.